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# genmarkov

generates random markov matrix with recurrent and transient classes

### Syntax

M=genmarkov(rec,tr) M=genmarkov(rec,tr,flag)

### Arguments

- rec
integer row vector (its dimension is the number of recurrent classes).

- tr
integer (number of transient states)

- M
real Markov matrix. Sum of entries in each row should add to one.

- flag
string

`'perm'`

. If given, a random permutation of the states is done.

### Description

Returns in M a random Markov transition probability matrix
with `size(rec,1)`

recurrent classes with `rec(1),...rec($)`

entries respectively and tr transient states.

### Examples

//P has two recurrent classes (with 2 and 1 states) 2 transient states P=genmarkov([2,1],2,'perm') [perm,rec,tr,indsRec,indsT]=classmarkov(P); P(perm,perm)

### See also

- classmarkov — recurrent and transient classes of Markov matrix
- eigenmarkov — normalized left and right Markov eigenvectors

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